We perform the signal and background event generation with MadGraph5_aMC@NLO [1]}. The \(t\bar{t}h\)  and \(t\bar{t}Z\)  samples are generated at NLO QCD and the \(t\bar{t}b\bar{b}\)  sample at LO. The dimension-six EFT contributions are added through the FeynRules model SMEFT@NLO [2]}. This implementation grants one-loop QCD computations accounting for the EFT contributions. In particular, it incorporates relevant extra radiation effects at the matrix element level [3]}. Shower, hadronization, and underlying event effects are simulated with Pythia8 [4]}. We use MadSpin to properly describe the top-quark decays, accounting for spin correlation effects [5]}. We assume the LHC at \(\sqrt{s}=14\)  TeV.
